27/125 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), which here is 27, representing how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, which here is 125. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 27/125 as a decimal?

$27/125 as a decimal$

Answer

27/125 as a decimal can be written as 0.216. It is a terminating decimal, meaning it does not repeat or continue indefinitely.

Explanation

To convert 27/125 into a decimal, we use the division method. Since 27 is smaller than 125, the result will be less than 1, and we will use the decimal point to express the result. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. Here, the numerator (27) will be taken as the dividend, and the denominator (125) will be the divisor.

Step 2: Since 27 is smaller than 125, we will add a decimal point in the quotient and bring down zeros to proceed with the division.

Step 3: Divide 270 by 125, which goes 2 times. Write 2 in the quotient place.

Step 4: Subtract 250 (2 × 125) from 270, leaving a remainder of 20.

Step 5: Bring down another 0, making it 200. Divide by 125, which goes 1 time. Write 1 in the quotient.

Step 6: Subtract 125 from 200, leaving 75.

Step 7: Bring down another 0, making it 750. Divide by 125, which goes 6 times. Write 6 in the quotient.

Step 8: Subtract 750 from 750, which leaves a remainder of 0, ending the division.

The answer for 27/125 as a decimal is 0.216.

Important Glossaries for 27/125 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a who
Terminating Decimal: A decimal that ends and does not repeat infinitely.